Stablization of an inverted pendulum by a high-speed fuzzy logic controller hardware system
Fuzzy Sets and Systems - On Applications of Fuzzy Logic Control to Industry
An introduction to fuzzy control
An introduction to fuzzy control
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy engineering
Fuzzy Modeling for Control
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
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Takagi-Sugeno fuzzy controllers are today one of the most promising technique to describe input-output relations of nonlinear systems using fuzzy rules. This chapter presents an extension of this modelling technique mainly based on the use of global fuzzy parameters and convolution operators to specify different uncertainties of a system: imprecision of inputs, vagueness of antecedent linguistic labels and smoothness requirements of outputs. The presented approach provides an efficient method to specify and implement an extended zero order product-sum Takagi-Sugeno controller with fuzzy inputs, antecedent terms fuzzy partition with an additional uniform vagueness, and singletons outputs with an additional output filter. It introduces a similarity transformation that greatly simplifies the involved computation. The most relevant feature of this approach is a global transformation of imprecision of inputs, uniform vagueness of antecedent terms and smoothness requirements of outputs into a single convolution transform applied to the corresponding antecedent terms partition. The kernels of the fuzzification transforms used are even B-spline functions. Some practical considerations and examples are also given.